112416402720 has 144 divisors (see below), whose sum is σ = 366744792960. Its totient is φ = 28943889408.

The previous prime is 112416402689. The next prime is 112416402727. The reversal of 112416402720 is 27204614211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (112416402727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264441 + ... + 542919.

It is an arithmetic number, because the mean of its divisors is an integer number (2546838840).

Almost surely, 2^112416402720 is an apocalyptic number.

112416402720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112416402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183372396480).

112416402720 is an abundant number, since it is smaller than the sum of its proper divisors (254328390240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112416402720 is a wasteful number, since it uses less digits than its factorization.

112416402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278555 (or 278518 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 112416402720 in words is "one hundred twelve billion, four hundred sixteen million, four hundred two thousand, seven hundred twenty".